Answer:
![\boxed{\sf m=\boxed{8}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20m%3D%5Cboxed%7B8%7D%7D)
Step-by-step explanation:
To determine the slope of a line given the coordinates of two points on the line, use the slope formula.
![\boxed{\sf \mathrm{m}=\cfrac{y_2-y_1}{x_2-x_1}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20%5Cmathrm%7Bm%7D%3D%5Ccfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%7D)
x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.
![\Box \:\:\sf Points:(6,-4)\:and (7,4)](https://tex.z-dn.net/?f=%5CBox%09%5C%3A%5C%3A%5Csf%20Points%3A%286%2C-4%29%5C%3Aand%20%287%2C4%29)
![\leadsto\sf \left(x_1,\:y_1\right)=\left(6,\:-4\right)](https://tex.z-dn.net/?f=%5Cleadsto%5Csf%20%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%286%2C%5C%3A-4%5Cright%29)
![\leadsto\sf \left(x_2,\:y_2\right)=\left(7,\:4\right)](https://tex.z-dn.net/?f=%5Cleadsto%5Csf%20%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%287%2C%5C%3A4%5Cright%29)
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![\longmapsto\sf m=\cfrac{4-\left(-4\right)}{7-6}](https://tex.z-dn.net/?f=%5Clongmapsto%5Csf%20m%3D%5Ccfrac%7B4-%5Cleft%28-4%5Cright%29%7D%7B7-6%7D)
![\longmapsto\sf m=8](https://tex.z-dn.net/?f=%5Clongmapsto%5Csf%20m%3D8)
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Answer:
a. √29
Step-by-step explanation:
The formula for the magnitude of a vector is magnitude = sqrt(x^2 + y^2).
For vector (5, -2):
magnitude = sqrt(5^2 + -2^2)
magnitude = sqrt(25 + 4)
magnitude = sqrt(29)
Therefore, the answer is √29.
Hope this helped :D
Answer:
12
Step-by-step explanation:
12
How many white marbles are there in the bag?
Answer: 28
Step-by-step explanation:
times 4 and 7 seven and get your answer